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Finding the Third Proportional to 415,046 and 906,978

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Solution

The third proportional to 415,046 and 906,978 is: 1,981,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,046 : 906,978 = 906,978 : x
  2. Step 2: Convert to fraction form
    415,046/906,978 = 906,978/x
  3. Step 3: Cross multiply
    415,046x = 906,978 × 906,978
  4. Step 4: Simplify right side
    415,046x = 822,609,092,484
  5. Step 5: Solve for x
    x = 822,609,092,484/415,046
  6. Step 6: Final answer
    x = 1,981,970.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.